Describe the y-intercept and end behavior of the following graph: The graph starts on the top left and curves down to the

Question

Describe the y-intercept and end behavior of the following graph:

The graph starts on the top left and curves down to the right, crosses the x axis at negative 2, then crosses the y axis at negative 4 and continues decreasing to the bottom right.

(−2, 0); The graph approaches y = −6 to the right.
(0, −5); The graph approaches y = −6 to the right.
(−2, 0); The graph decreases to the left.
(0, −5); The graph decreases to the left.

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Madeline 3 weeks 2021-09-24T18:41:21+00:00 2 Answers 0

Answers ( )

    0
    2021-09-24T18:42:50+00:00

    Answer:

    Based on graph description …

    • end behavior: (-∞, +∞), (+∞, -∞)
    • y-intercept: (0, -4)

    Based on what appear to be answer choices …

    • end behavior: (-∞, ∞), (+∞, -6)
    • y-intercept: (0, -5)

    Step-by-step explanation:

    End behavior

    “Starts at top left” means the function approaches +∞ as x approaches -∞.

    “Continues decreasing to the bottom right” seems to mean the function approaches -∞ as x approaches +∞.

    (While an exponential decay function “continues decreasing”, it approaches a limit. Your description of the graph says nothing about that, so we assume it is an odd-degree polynomial function with a negative leading coefficient.)

    __

    Y-intercept

    “Crosses the y axis at negative 4” means the y-intercept is (0, -4).

    _____

    Comment on problem statement discrepancies

    Perhaps you intended to describe the graph as “approaching -6 at the bottom right.” That would match a description, “The graph approaches y = −6 to the right.” However, your offered choice of (0, -5) for the y-intercept does not match the verbal description of “crosses the y axis at negative 4.”

    0
    2021-09-24T18:43:10+00:00

    Answer:

    B.  (0, −5); The graph approaches y = −6 to the right.

    Step-by-step explanation:

    took the test

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